We're dividing 262176 by 19 
We want to figure out the number of times 262176 can be divided by 19.

On to step 1:
19 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 19

On to step 2:
19 can be fit into 26 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 19 from 26 leaves us with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 19

Going ahead to step 3:
19 goes into 72 3 times with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 57 from 72, we get 15.
Bring next digit (1) of the dividend behind the 15 and repeat the process: 151 / 19

Moving on to step 4:
19 can be fit into 151 7 times, resulting in a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 137.0
If we subtract 133 from 151, we get 18.
Grab the next digit (7) from the dividend, add it to 18, then carry on: 187 / 19

Let's proceed to step 5:
When dividing 187 by 19, we get 9 with a remainder of 16.
Put 9 as the next digit of the answer. 
Result so far: 1379.0
The remainder is 16 after subtracting 171 from 187.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 19

Step 6:
166 divided by 19 is 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 13798.0
Deduct 152 from 166 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
19 can be fit into 140 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 13798.7
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
70 divided by 19 is 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 13798.73
If we take 57 away from 70, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 9:
19 can be fit into 130 6 times, resulting in a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 13798.736
Subtracting 114 from 130 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 13798.7368
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 13798.73684
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
When dividing 40 by 19, we get 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 13798.736842
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
When dividing 20 by 19, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 13798.7368421
Subtracting 19 from 20 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
10 divided by 19 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 13798.7368421
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 13798.7368421, with a leftover of 1e-08.